Decision Theory and Expected Utility
Decision Theory is a field that studies how individuals make choices under uncertainty, weighing possible outcomes and their associated probabilities. Expected Utility is a key concept within this theory, where individuals evaluate options by calculating the weighted average of all possible outcomes, using their probabilities and the individual's utility (or value) for each outcome. This approach helps in making rational decisions that maximize overall satisfaction or benefit.
Decision Theory and Expected Utility
Decision Theory is a field that studies how individuals make choices under uncertainty, weighing possible outcomes and their associated probabilities. Expected Utility is a key concept within this theory, where individuals evaluate options by calculating the weighted average of all possible outcomes, using their probabilities and the individual's utility (or value) for each outcome. This approach helps in making rational decisions that maximize overall satisfaction or benefit.
💡 Key Takeaways
- Understand decisions under uncertainty and how probabilities describe possible outcomes.
- Define and compute expected utility as the probability-weighted average of outcomes using a utility function.
- Compare options by their expected utilities to select the best choice.
- See how risk preferences (risk-averse, risk-neutral, risk-seeking) shape utility and decisions.
- Acknowledge the limitations and criticisms of expected utility theory in real-world decision making.
❓ Frequently Asked Questions
What is decision theory?
Decision theory studies how people make choices under uncertainty, modeling preferences, probabilities, and outcomes to explain and guide rational decisions.
What is expected utility?
Expected utility is a criterion for evaluating options by taking the probability-weighted average of the utilities of possible outcomes, reflecting an individual's risk preferences.
How do you calculate expected utility?
If outcomes x_i have probabilities p_i and utilities u(x_i), then EU = sum_i p_i · u(x_i). The utility function encodes how much each outcome is preferred, capturing risk attitude.
How does risk aversion relate to the utility function?
Risk aversion is indicated by a concave utility function (diminishing marginal utility). More curvature means a stronger preference for certainty over risky outcomes.